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Veronika [31]
3 years ago
15

Please solve #9 for me idk how to do it

Mathematics
1 answer:
Yuri [45]3 years ago
4 0

Exterior Angle Theorem basically says that if there's an angle that makes a 180° with one of the angles of a triangle, the other two angles of that triangle must be equal to the angle outside.

In the context of this problem, that means m∠SAB is equal to m∠B + m∠C. Putting that into an equation would look like this: 19x + 8= 75 + 6x +11 \\ 19x + 8 = 86+ 6x.

From here, we can solve for x with the usual methods. Here's how it would look: 19x +8-8 = 86+6x-8\\ 19x=  78 +6x \\ 19x -6x = 78 +6x -6x \\ 13x = 78 \\ \frac{13}{13}x = \frac{78}{3} \\ x = 6.

With x being six, we can now find the angle measures of all of the angles in the problem by plugging it into the angles that have x and using our rules along with our theorems from there.  Let's start with ∠C, which is 6x + 11. It would look like this: C=6(6) +11 \\ C= 36 + 11 \\ C = 47. Now we know that m∠C is 47°, we can find the angle outside through exterior angle theorem again. We can set it up and solve it like this:

A = 47 + 75 \\ A = 122

So we know that the exterior angle is 122°. We also know that the interior angle (the one inside that we don't know yet) is a supplementary angle to our exterior angle (meaning that their angles add up to 180° and that they make a straight line). From this, we can find the angle by subtracting 122 from 180. This gets us 58°.

So, your angles measures are the exterior angle being 122°, the interior angle being 58°, and m∠C being 47°. Also, your x value is 6.

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6 0
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ololo11 [35]

Answer:

Alternative C is the correct answer

Step-by-step explanation:

The first step is to determine the composite function;

f[g(x)]

f[g(x)]=cos[cot(x)]

We then employ a graphing utility to determine the range and the domain of the new function.

The range is the set of y-values for which the function is defined. In this case it is;

[-1,1]

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8 0
3 years ago
A box of cereal states that there are 93 calories in a three fourths
cupoosta [38]

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7 0
3 years ago
A number m is more than −7 2/3 or at most −10
babunello [35]

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what are you asking?

Step-by-step explanation:

5 0
3 years ago
A garden is 15-feet long by 5-feet wide . The length and width of the garden will each be increased by the same number of feet .
Fittoniya [83]

Answer:

40 + 4x

Step-by-step explanation:

formula for perimeter:

( length * 2 )+(width * 2)

you know that the length and width will be increased by the same number so you can call that X.

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then substitute length and width

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you can simplify this a bit more

30 + 2x + 10 + 2x

40 +4x

Goodluck with your schoolwork/homework!

----------------------------------------------------------------

Sorry for any wrong answers or bad explanations.

3 0
3 years ago
Read 2 more answers
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